The Battle of the Exes (BoE)[1]} is a Continuous Iterated Game in which two agents with constant speed can move freely changing its direction in an environment where two different valued rewards (high and low reward) are equidistant to the agents at the start of a trial. When an agent reaches a reward spot it is rewarded with its value (high or low) if the other agent is not inside what we call the "tie area", in which case both agents get nothing (see figure REF  and references [1]}, [3]} for a detailed description of the game ). The game is played repeatedly. BoE has also a non continuous version called ballistic (a classical iterated game version):
(a) Ballistic (Iterated Game): decisions are taken beforehand (before a trial starts) and outcomes of the trial are executed without possibility of changing decision, that is, ballistically. This version is equivalent to the classic games: Battle of the Sexes, Bach or Stravinsky and Hero.
(b) Dynamic (Continuous Iterated Game): players can change decision (that is approach the high or low reward) with no impact until the end of the trial when a reward is reached (that is when one of the players reaches a reward spot).
<FIGURE>